论文信息 - The Selection of Terms in Response-Surface Models—How Strong is the Weak-Heredity Principle?

The Selection of Terms in Response-Surface Models—How Strong is the Weak-Heredity Principle?

Abstract Model selection under the weak-heredity principle allows models that contain compound terms such as x 1 x 2 to have only one of the corresponding x 1 and x 2 terms In the model It is shown that the conditions required to justify use of the principle are so restrictive as to make It unusable in practice. An example is given to Illustrate this.

J. Nelder

[1] J. Peixoto. Hierarchical Variable Selection in Polynomial Regression Models , 1987 .

[2] J. Peixoto. A Property of Well-Formulated Polynomial Regression Models , 1990 .

[3] Sue J. Welham,et al. Genstat 5 release 3 reference manual , 1994 .

[4] S. Bisgaard,et al. QUALITY QUANDARIES∗ : Analysis of Factorial Experiments with Defects or Defectives as the Response , 1994 .

[5] Hugh Chipman,et al. Bayesian variable selection with related predictors , 1995, bayes-an/9510001.

[6] J. C. Lu,et al. Combined Generalized Linear Modelling–Non‐Linear Programming Approach to Robust Process Design—A Case‐Study in Circuit Board Quality Improvement , 1996 .

[7] R. H. Myers,et al. A TUTORIAL ON GENERALIZED LINEAR MODELS , 1997 .